Chapter 6
Exercise 10:
Hint:
a)   Under what condition does X_C short out the lower portion of the voltage divider? When X_C is open, what is the result of the voltage divider?
b)   Find the effective impedance of the parallel combination of R₂ and C, then use the voltage divider formula to find an expression for the gain.

Ans:
Detailed MathCAD solution

Exercise 23:
Hint:
Use the breakpoint frequency in rad/s to find RC.

Ans:
53 pF

Exercise 24:
Hint:
Set the gain (magnitude) equal to 0.1 and solve for the dimensionless frequency. Determine C given R and frequency.

Ans:
26.4 microF

Exercise 50:
Hint:
When there is both inductive and capacitive reactance present, what happens to the voltage divider at resonance? off-resonance?

Ans:
a)   lowpass
b)   bandpass
c)   bandpass